Question

In the diagram below, \overline{OP} OP is parallel to \overline{LM} LM . Solve for xx. Round your answer to the nearest tenth if necessary and the numbers on the diagram are 14.2,13.3,10.7

Answer 1

The value of x from the given diagram is approximately 17.7

Similarity theorem of a triangle

Applying this theorem to the given triangle, we will have:

x/x+14.2  = 13.3/13.3+10.7

x/x+14.2 = 13.3/24

x/x+14.2 =0.55416

x = 0.55416(x+14.2)

x - 0.55416x = 7.8692

0.44584x = 7.8692

x = 17.7

Hence the value of x from the given diagram is approximately 17.7

Learn more on similar triangles here: https://brainly.com/question/2644832